137426700 has 72 divisors (see below), whose sum is σ = 400863232. Its totient is φ = 36348480.

The previous prime is 137426693. The next prime is 137426701. The reversal of 137426700 is 7624731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (137426701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36297 + ... + 39903.

Almost surely, 2^137426700 is an apocalyptic number.

137426700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137426700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200431616).

137426700 is an abundant number, since it is smaller than the sum of its proper divisors (263436532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137426700 is a wasteful number, since it uses less digits than its factorization.

137426700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 137426700 is about 11722.9134603988. The cubic root of 137426700 is about 516.0483249014.

The spelling of 137426700 in words is "one hundred thirty-seven million, four hundred twenty-six thousand, seven hundred".